Convex surfaces which intersect each congruent copy of themselves in a connected set

1986 ◽  
Vol 54 (1) ◽  
pp. 71-80 ◽  
Author(s):  
Peter Mani-Levitska
2017 ◽  
Vol 11 (6) ◽  
pp. 935-941 ◽  
Author(s):  
Nan Wang ◽  
Xiaojie Dang ◽  
Haobo Yuan ◽  
Changhong Liang
Keyword(s):  

1997 ◽  
Vol 06 (04) ◽  
pp. 423-450 ◽  
Author(s):  
Baher A. El-Geresy ◽  
Alia I. Abdelmoty

In this paper we propose a general approach for reasoning in space. The approach is composed of a set of two general constraints to govern the spatial relationships between objects in space, and two rules to propagate relationships between those objects. The approach is based on a novel representation of the topology of the space as a connected set of components using a structure called adjacency matrix which can capture the topology of objects of different complexity in any space dimension. The formalism is used to explain spatial compositions resulting in indefinite and definite relations and it is shown to be applicable to reasoning in the temporal domain. The main contribution of the formalism is that it provides means for constructing composition tables for objects with arbitrary complexity in any space dimension. A new composition table between spatial objects of different types is presented. A major advantage of the method is that reasoning between objects of any complexity can be achieved in a defined limited number of steps. Hence, the incorporation of spatial reasoning mechanisms in spatial information systems becomes possible.


1997 ◽  
Vol 123 (3) ◽  
pp. 203-207
Author(s):  
Gheorghe Crăciun ◽  
Tudor Zamfirescu
Keyword(s):  

2011 ◽  
Vol 328-330 ◽  
pp. 560-564
Author(s):  
Ba Sheng Ouyang ◽  
Guo Xiang Lin ◽  
Yong Hui Tang

Cutting forces and machining error in contouring of concave and convex surfaces using helical ball end mills are theoretically investigated. The cutting forces are evaluated based on the theory of oblique cutting. The machining errors resulting from the tool deflections due to these forces are evaluated at various points of the machined surface. The influence of various cutting conditions and cutting modes on machining error is investigated and discussed.


2021 ◽  
Vol 66 (3) ◽  
pp. 369-375
Author(s):  
E. V. Galaktionov ◽  
N. E. Galaktionova ◽  
E. A. Tropp

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